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If it has chess, it has combinatorics

Source: OMEC Ecuador National Olympiad Final Round 2021 N3 P4 day 2

November 7, 2024
combinatoricsnational olympiad

Problem Statement

In a board 88x88, the unit squares have numbers 1āˆ’641-64, as shown. The unit square with a multiple of 33 on it are red. Find the minimum number of chess' bishops that we need to put on the board such that any red unit square either has a bishop on it or is attacked by at least one bishop. Note: A bishops moves diagonally. https://i.imgur.com/03baBwp.jpeg